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Finding the Fourth Proportional to 11,278.58, 16,919.49 and 3,488

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Solution

The fourth proportional to 11,278.58, 16,919.49 and 3,488 is: 5,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278.58 : 16,919.49 = 3,488 : x
  2. Step 2: Convert to fraction form
    11,278.58/16,919.49 = 3,488/x
  3. Step 3: Cross multiply
    11,278.58x = 16,919.49 × 3,488
  4. Step 4: Simplify right side
    11,278.58x = 59,015,181.12
  5. Step 5: Solve for x
    x = 59,015,181.12/11,278.58
  6. Step 6: Final answer
    x = 5,232.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.